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Polynomial multiplication stands out as a highly demanding arithmetic process in the development of post-quantum cryptosystems. The importance of the number-theoretic transform (NTT) extends beyond post-quantum cryptosystems, proving…

Cryptography and Security · Computer Science 2024-09-20 Kasra Ahmadi , Saeed Aghapour , Mehran Mozaffari Kermani , Reza Azarderakhsh

Fully Homomorphic Encryption (FHE) relies heavily on the Number Theoretic Transform (NTT), making NTT a major performance bottleneck due to its intensive polynomial computations. Hybrid Homomorphic Encryption (HHE), which integrates…

Hardware Architecture · Computer Science 2026-03-03 Hang Gu , Teng Wang , Qianyu Cheng , Jinao Li , Zhendong Zheng , Lei Gong , Wenqi Lou , Xi Li , Xuehai Zhou

Decimal multiplication is the task of multiplying two numbers in base $10^N.$ Specifically, we focus on the number-theoretic transform (NTT) family of algorithms. Using only portable techniques, we achieve a 3x-5x speedup over the mpdecimal…

Data Structures and Algorithms · Computer Science 2020-12-11 Viktor Krapivensky

This tutorial aims to establish connections between polynomial modular multiplication over a ring to circular convolution and discrete Fourier transform (DFT). The main goal is to extend the well-known theory of DFT in signal processing…

Cryptography and Security · Computer Science 2024-06-11 Sin-Wei Chiu , Keshab K. Parhi

Low-bit quantized neural networks are of great interest in practical applications because they significantly reduce the consumption of both memory and computational resources. Binary neural networks are memory and computationally efficient…

Machine Learning · Computer Science 2022-05-20 Anton Trusov , Elena Limonova , Dmitry Nikolaev , Vladimir V. Arlazarov

Triangles are the basic substructure of networks and triangle counting (TC) has been a fundamental graph computing problem in numerous fields such as social network analysis. Nevertheless, like other graph computing problems, due to the…

Hardware Architecture · Computer Science 2021-12-02 Xueyan Wang , Jianlei Yang , Yinglin Zhao , Xiaotao Jia , Rong Yin , Xuhang Chen , Gang Qu , Weisheng Zhao

Computationally intensive deep neural networks (DNNs) are well-suited to run on GPUs, but newly developed algorithms usually require the heavily optimized DNN routines to work efficiently, and this problem could be even more difficult for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-12 Yu-Sheng Lin , Wei-Chao Chen , Shao-Yi Chien

We introduce a parallelizable simplification of Neural Turing Machine (NTM), referred to as P-NTM, which redesigns the core operations of the original architecture to enable efficient scan-based parallel execution. We evaluate the proposed…

Neural and Evolutionary Computing · Computer Science 2026-02-24 Gabriel Faria , Arnaldo Candido Junior

The Discrete Fourier Transform (DFT) is essential for various applications ranging from signal processing to convolution and polynomial multiplication. The groundbreaking Fast Fourier Transform (FFT) algorithm reduces DFT time complexity…

Hardware Architecture · Computer Science 2023-04-06 Orian Leitersdorf , Yahav Boneh , Gonen Gazit , Ronny Ronen , Shahar Kvatinsky

Triangle counting (TC) is a fundamental problem in graph analysis and has found numerous applications, which motivates many TC acceleration solutions in the traditional computing platforms like GPU and FPGA. However, these approaches suffer…

Hardware Architecture · Computer Science 2020-07-22 Xueyan Wang , Jianlei Yang , Yinglin Zhao , Yingjie Qi , Meichen Liu , Xingzhou Cheng , Xiaotao Jia , Xiaoming Chen , Gang Qu , Weisheng Zhao

Homomorphic encryption (HE) is a core building block in privacy-preserving machine learning (PPML), but HE is also widely known as its efficiency bottleneck. Therefore, many GPU-accelerated cryptographic schemes have been proposed to…

Cryptography and Security · Computer Science 2025-02-18 Yu Cui , Hang Fu , Licheng Wang , Haibin Zhang

Strongly correlated materials host a rich variety of exotic quantum phases but remain challenging to solve due to strong interactions. We introduce the Neural Transformer Backflow (NTB) framework, a powerful neural-network ansatz formulated…

Strongly Correlated Electrons · Physics 2025-10-20 Lixing Zhang , Di Luo

Recurrent neural networks (RNNs) with deep test-time memorization modules, such as Titans and TTT, represent a promising, linearly-scaling paradigm distinct from Transformers. While these expressive models do not yet match the peak…

Machine Learning · Computer Science 2025-11-11 Zeman Li , Ali Behrouz , Yuan Deng , Peilin Zhong , Praneeth Kacham , Mahdi Karami , Meisam Razaviyayn , Vahab Mirrokni

Massive MIMO systems have the potential to significantly enhance spectral efficiency, yet their widespread integration is hindered by the high power consumption of the underlying computations. This paper explores the applicability and…

Signal Processing · Electrical Eng. & Systems 2025-09-09 Mikael Rinkinen , Mehdi Safarpour , Shahriar Shahabuddin , Olli Silven , Lauri Koskinen

An analog neural network computing engine based on CMOS-compatible charge-trap transistor (CTT) is proposed in this paper. CTT devices are used as analog multipliers. Compared to digital multipliers, CTT-based analog multiplier shows…

We introduce the Byte Latent Transformer (BLT), a new byte-level LLM architecture that, for the first time, matches tokenization-based LLM performance at scale with significant improvements in inference efficiency and robustness. BLT…

Efficient large-scale inference of transformer-based large language models (LLMs) remains a fundamental systems challenge, frequently requiring multi-GPU parallelism to meet stringent latency and throughput targets. Conventional tensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-10 Chong Wang , Nan Du , Tom Gunter , Tao Lei , Kulin Seth , Senyu Tong , Jianyu Wang , Guoli Yin , Xiyou Zhou , Kelvin Zou , Ruoming Pang

This paper presents 6T SRAM cell-based bit-parallel in-memory computing (IMC) architecture to support various computations with reconfigurable bit-precision. In the proposed technique, bit-line computation is performed with a short WL…

Hardware Architecture · Computer Science 2020-08-11 Kyeongho Lee , Jinho Jeong , Sungsoo Cheon , Woong Choi , Jongsun Park

Privacy concerns have thrust privacy-preserving computation into the spotlight. Homomorphic encryption (HE) is a cryptographic system that enables computation to occur directly on encrypted data, providing users with strong privacy (and…

Cryptography and Security · Computer Science 2024-05-21 Juran Ding , Yuanzhe Liu , Lingbin Sun , Brandon Reagen

Recently, large-scale transformer-based models have been proven to be effective over various tasks across many domains. Nevertheless, applying them in industrial production requires tedious and heavy works to reduce inference costs. To fill…

Computation and Language · Computer Science 2022-05-25 Gongzheng Li , Yadong Xi , Jingzhen Ding , Duan Wang , Bai Liu , Changjie Fan , Xiaoxi Mao , Zeng Zhao